Multiscale topology optimisation for porous composite structures with stress-constraint and clustered microstructures

Wei, Guangkai1,2; Chen, Yuan2,3; Li, Qing4; Fu, Kunkun1

2023-11-01

10.1016/j.cma.2023.116329

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING   Impact Factor & Quartile

0045-7825

1879-2138

While porous composites are drawing growing attention for their excellent lightweight and multifunctional characteristics, inherent stress concentration in these porous composites often presents a main concern of structural integrity. This study aims to develop a multiscale topology optimisation (MTO) method for design of porous composites with clustered microstructures under a prescribed stress constraint. First, the concurrent topology optimisation (TO) for both macrostructures and microstructures are implemented via a multiscale algorithm. Meanwhile, a clustering technique is implemented based on a so-called k-means method to simultaneously determine the allowable volume fraction and microstructural configuration. Second, a consistent density-and-strain based clustering technique is developed for both 2D and 3D multiscale TO. Finally, two benchmark design examples, namely Messerschmitt-Bolkow-Blohm (MBB) and L-bracket structures, are implemented using the presented MTO method by considering either 2D or 3D situations to demonstrate the design effectiveness. The results indicate that, when optimising a high-stiffness porous composites subject to the stress constraint, the maximum von Mises stresses of the 2D MBB and L-bracket structures are well restrained, which are respectively 20% and 29% lower than those without the stress-constraint. In design of a 3D L-bracket, the present MTO method can achieve around 19% reduction in the maximum stress. The study demonstrates the importance of stress constraint to the topological design of multiscale porous composite structures. & COPY; 2023 Elsevier B.V. All rights reserved.

Topology optimisation Stress constraint Microstructures Multiscale optimisation Porous composites Dehomogenisation

SCI

English

Corresponding

National Key Research and Development Program of China[ZDSYS20220527171404011] ; Shenzhen Key Laboratory of Intelligent Manufacturing for Continuous Carbon Fibre Reinforced Composites[Y01966113] ; Scientific Research Start-up Funds["12172257","2022KQNCX069"] ; null[2022YFB4602000] ; null[Y01966213]

Engineering ; Mathematics ; Mechanics

Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics

WOS:001058728900001

ELSEVIER SCIENCE SA

COMPUTER SCIENCE

Web of Science

1.Tongji Univ, Sch Aerosp Engn & Appl Mech, Shanghai 200092, Peoples R China
2.Southern Univ Sci & Technol, Shenzhen Key Lab Intelligent Mfg Continuous Carbon, Shenzhen 518055, Peoples R China
3.Southern Univ Sci & Technol, Sch Syst Design & Intelligent Mfg SDIM, Shenzhen, Peoples R China
4.Univ Sydney, Ctr Adv Mat Technol CAMT, Sch Aerosp Mech & Mechatron Engn, Sydney, NSW 2006, Australia

Wei, Guangkai,Chen, Yuan,Li, Qing,et al. Multiscale topology optimisation for porous composite structures with stress-constraint and clustered microstructures[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2023,416.

Wei, Guangkai,Chen, Yuan,Li, Qing,&Fu, Kunkun.(2023).Multiscale topology optimisation for porous composite structures with stress-constraint and clustered microstructures.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,416.

Wei, Guangkai,et al."Multiscale topology optimisation for porous composite structures with stress-constraint and clustered microstructures".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 416(2023).